5613040742400 has 3744 divisors, whose sum is σ = 27257903382528. Its totient is φ = 1070176665600.

The previous prime is 5613040742327. The next prime is 5613040742437. The reversal of 5613040742400 is 42470403165.

5613040742400 is a `hidden beast` number, since 5 + 6 + 1 + 3 + 0 + 407 + 4 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 44197171137 + ... + 44197171263.

It is an arithmetic number, because the mean of its divisors is an integer number (7280422912).

Almost surely, 2^{5613040742400} is an apocalyptic number.

5613040742400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5613040742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13628951691264).

5613040742400 is an abundant number, since it is smaller than the sum of its proper divisors (21644862640128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5613040742400 is a wasteful number, since it uses less digits than its factorization.

5613040742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 5613040742400 in words is "five trillion, six hundred thirteen billion, forty million, seven hundred forty-two thousand, four hundred".